Question

A small 0.700-kg object moves on a frictionless horizontal
tablein a circular path of radius 2.60 m. The angular speed is
4.56rad/s. The object is attached to a string of negligible mass
thatpasses through a small hole in the table at the center of
thecircle. Someone under the table begins to pull the string
downwardto make the circle smaller. If the string will tolerate a
tensionof no more than 1390 N, what is the radius of the smallest
possiblecircle on which the object can move?